Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 1 - 6 of 81

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Question number: 1

» Arithmetic Progressions

MCQ▾

Question

A number 32 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 7:15 . Find the lowest part.

Choices

Choice (4) Response
a.

6

b.

2

c.

10

d.

14

Question number: 2

» Arithmetic Progressions

MCQ▾

Question

If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________

Choices

Choice (4) Response
a.

32

b.

19

c.

27

d.

15

Question number: 3

» Arithmetic Progressions

MCQ▾

Question

If the sum of three consecutive terms of an increasing A. P. is 51 and the product of the first and third of these terms is 273, then the third term is ________

Choices

Choice (4) Response
a.

9

b.

13

c.

17

d.

21

Question number: 4

» Arithmetic Progressions

MCQ▾

Question

Between the numbers 4 and 40, 18 means (such that 10 numbers are in arithmetic progression) are inserted, then their sum is ________

Choices

Choice (4) Response
a.

526

b.

603

c.

836

d.

881

Question number: 5

» Arithmetic Progressions

MCQ▾

Question

The number of terms common between the two series 4+6+8+10+ Up to 20 terms and the series 6+10+14+18+ up to 30 terms is ________

Choices

Choice (4) Response
a.

18

b.

17

c.

10

d.

16

Question number: 6

» Arithmetic Progressions

MCQ▾

Question

A number 144 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 10:9 . Find the largest part.

Choices

Choice (4) Response
a.

48

b.

56

c.

54

d.

46

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